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Finding the Fourth Proportional to 72,874.75, 109,312.13 and 20,285.61

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Solution

The fourth proportional to 72,874.75, 109,312.13 and 20,285.61 is: 30,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,874.75 : 109,312.13 = 20,285.61 : x
  2. Step 2: Convert to fraction form
    72,874.75/109,312.13 = 20,285.61/x
  3. Step 3: Cross multiply
    72,874.75x = 109,312.13 × 20,285.61
  4. Step 4: Simplify right side
    72,874.75x = 2,217,463,237.45
  5. Step 5: Solve for x
    x = 2,217,463,237.45/72,874.75
  6. Step 6: Final answer
    x = 30,428.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.